document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=570103>Question 570103</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A basket contains many apples and the apples are divided among six people. One third, one fourth, one eigth, and one fith of the apples are given to the first four people, respectively. The fith person gets ten apples and the sixth person gets one apple. Find the original number of apples in the basket.\r<BR>\n" );
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document.write( "I tried the following: Let A = Original number of apples<BR>\n" );
document.write( "x = number of apples given<BR>\n" );
document.write( "A= 1/3x + 1/4x + 1/8x + 1/5x + 10 + 1\r<BR>\n" );
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document.write( "Next I determined the LCD was 120<BR>\n" );
document.write( "A = 40/120x + 30/120 + 15/120x + 24/120x + 10 +1<BR>\n" );
document.write( "A = (109/120x + 11)*120<BR>\n" );
document.write( "120A = 109x + 11<BR>\n" );
document.write( "120A - 11 = 109x<BR>\n" );
document.write( "120A - 11/109 = x<BR>\n" );
document.write( "If I left the x out of the fractions then I got the following<BR>\n" );
document.write( "120A = 109 +11<BR>\n" );
document.write( "120A = 120\r<BR>\n" );
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document.write( "Please solve, show work and show me what I'm doing wrong.\r<BR>\n" );
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document.write( "Thanks,<BR>\n" );
document.write( "Norm  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #367650 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=367650\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A basket contains many apples and the apples are divided among six people.<BR>\n" );
document.write( " One third, one fourth, one eighth, and one fifth of the apples are given to the first four people, respectively.<BR>\n" );
document.write( " The fifth person gets ten apples and the sixth person gets one apple.<BR>\n" );
document.write( " Find the original number of apples in the basket.<BR>\n" );
document.write( "I tried the following: Let A = Original number of apples<BR>\n" );
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document.write( "You don't need x here.<BR>\n" );
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document.write( "A = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >A + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F4 ALIGN=MIDDLE  ALT=\"1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >A + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F8 ALIGN=MIDDLE  ALT=\"1%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" >A + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F5 ALIGN=MIDDLE  ALT=\"1%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >A + 10 + 1<BR>\n" );
document.write( "Find the Common denominators of all these fractions, that would be 120, as you said <BR>\n" );
document.write( "A = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40%2F120 ALIGN=MIDDLE  ALT=\"40%2F120\"   DISABLED_style= \"max-width:90%; height:auto;\" >A + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30%2F120 ALIGN=MIDDLE  ALT=\"30%2F120\"   DISABLED_style= \"max-width:90%; height:auto;\" >A + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15%2F120 ALIGN=MIDDLE  ALT=\"15%2F120\"   DISABLED_style= \"max-width:90%; height:auto;\" >A + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24%2F120 ALIGN=MIDDLE  ALT=\"24%2F120\"   DISABLED_style= \"max-width:90%; height:auto;\" >A + 11<BR>\n" );
document.write( "A = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=109%2F120 ALIGN=MIDDLE  ALT=\"109%2F120\"   DISABLED_style= \"max-width:90%; height:auto;\" >A + 11<BR>\n" );
document.write( "Multiply both sides by 120, get rid of the fraction<BR>\n" );
document.write( "120A = 109A + 120(11)<BR>\n" );
document.write( "120A - 109A = 1320<BR>\n" );
document.write( "11A = 1320<BR>\n" );
document.write( "A = 1320/11<BR>\n" );
document.write( "A = 120 apples total\r<BR>\n" );
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